Hydrodynamic simulation of converging shock waves in porous conical samples enclosed within solid targets

摘要

Axially symmetric flows with converging shock waves in conical solid targets of steel or lead filled by porous aluminum, graphite, or polytetrafluoroethylene under impact of an aluminum plate with the velocity from 2.5 to 9 km/s have been simulated numerically in the framework of the model of the hypoelastic ideal-plastic solid. Equations of state for all materials in question are used to describe thermodynamic properties of the impactor and target over a wide range of pressures and temperatures, taking into account phase transitions. The graphite-to-diamond transformation is taken into consideration based on a kinetic model. Three different convergent cone configurations of the targets either with a closed cavity or with an outlet hole are analyzed. An appreciable increase of the pressure and temperature within the target cavity as well as of the ejected material velocity on decreasing the initial density of a sample is demonstrated in the simulations. Numerical results that can be compared with possible further experiments for verification of the predictions are presented and discussed.